Pith Number

pith:OOA5NRX4

pith:2015:OOA5NRX4JD6Q2BCBS2DORIUB5R

not attested not anchored not stored refs pending

Torsion and ground state maxima: close but not the same

Bartlomiej A. Siudeja, Brian A. Benson, Michael Minion, Richard S. Laugesen

arxiv:1507.01565 v1 · 2015-07-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOA5NRX4JD6Q2BCBS2DORIUB5R}

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	2026-05-18T01:37:16.557558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7381d6c6fc48fd0d04419686e8a281ec44612bd7b8a518f7fcbcf3b0412b0f4a

Aliases

arxiv: 1507.01565 · arxiv_version: 1507.01565v1 · doi: 10.48550/arxiv.1507.01565 · pith_short_12: OOA5NRX4JD6Q · pith_short_16: OOA5NRX4JD6Q2BCB · pith_short_8: OOA5NRX4

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/OOA5NRX4JD6Q2BCBS2DORIUB5R \
  | 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: 7381d6c6fc48fd0d04419686e8a281ec44612bd7b8a518f7fcbcf3b0412b0f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d1ab63f1cb9b43b56d20206f4379e3ab8adfcb1c4221633d76d5b3b5f39573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-06T19:09:08Z",
    "title_canon_sha256": "5bf4935c7bcb0c24974aad040a0c9eab5f5ef135f1ec64b7ba60637d0a3d34fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01565",
    "kind": "arxiv",
    "version": 1
  }
}