Pith Number

pith:OL2ET3GD

pith:2025:OL2ET3GDYQMIM6IVXT7KHHHCYB

not attested not anchored not stored refs pending

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets

Christoforos Neofytidis, Hongbin Sun, Shicheng Wang, Ye Tian, Zhongzi Wang

arxiv:2505.16285 v1 · 2025-05-22 · math.GT · math.AT · math.GR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL2ET3GDYQMIM6IVXT7KHHHCYB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:07:32.758746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f449ecc3c418867915bcfea39ce2c07c478740f12b9c50cea3eff7900cfcc4

Aliases

arxiv: 2505.16285 · arxiv_version: 2505.16285v1 · doi: 10.48550/arxiv.2505.16285 · pith_short_12: OL2ET3GDYQMI · pith_short_16: OL2ET3GDYQMIM6IV · pith_short_8: OL2ET3GD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OL2ET3GDYQMIM6IVXT7KHHHCYB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 72f449ecc3c418867915bcfea39ce2c07c478740f12b9c50cea3eff7900cfcc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e616834bd37fd8cb2b71f7d0c7910e8f86170a4940f7adf1333aaf92502174",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-22T06:32:03Z",
    "title_canon_sha256": "97ac0b2cd51e7d9564d1364e17ffcc9378ef710926b741a6c92f665cb81ea159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16285",
    "kind": "arxiv",
    "version": 1
  }
}