Pith Number

pith:52HPBGDY

pith:2026:52HPBGDYASZMJ7FIMXZZENPFVX

not attested not anchored not stored refs pending

Homological Nielsen realization for the manifolds $\#_n \mathbb{CP}^2$

Ethan Pesikoff

arxiv:2605.27537 v1 · 2026-05-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52HPBGDYASZMJ7FIMXZZENPFVX}

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	2026-05-28T01:04:14.694539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8ef0987804b2c4fca865f39235e5adc67e907c74a1249ef6586bb8b084ebd4

Aliases

arxiv: 2605.27537 · arxiv_version: 2605.27537v1 · doi: 10.48550/arxiv.2605.27537 · pith_short_12: 52HPBGDYASZM · pith_short_16: 52HPBGDYASZMJ7FI · pith_short_8: 52HPBGDY

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/52HPBGDYASZMJ7FIMXZZENPFVX \
  | 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: ee8ef0987804b2c4fca865f39235e5adc67e907c74a1249ef6586bb8b084ebd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "243998ed054a291d8286b376e271fb81156c8cba1d19d7cbccd8bbb29e8eb941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-26T18:10:11Z",
    "title_canon_sha256": "b3250b89ee041723b099f786c4b3af7918ed867b2b5b73c0eb2fb39100371eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27537",
    "kind": "arxiv",
    "version": 1
  }
}