Pith Number

pith:IV4N7EDB

pith:2026:IV4N7EDB4YMYBTOWFI2624BVCP

not attested not anchored not stored refs pending

On Sirakov's equal-frequency uniqueness conjecture

Hong-Ge Chen, Juncheng Wei, Wen Yang, Yong Liu

arxiv:2607.28279 v1 · 2026-07-30 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV4N7EDB4YMYBTOWFI2624BVCP}

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	2026-07-31T01:37:08.034456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

4578df9061e61980cdd62a35ed703513ff00008d15996d6e9a56cd02c8be6200

Aliases

arxiv: 2607.28279 · arxiv_version: 2607.28279v1 · doi: 10.48550/arxiv.2607.28279 · pith_short_12: IV4N7EDB4YMY · pith_short_16: IV4N7EDB4YMYBTOW · pith_short_8: IV4N7EDB

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/IV4N7EDB4YMYBTOWFI2624BVCP \
  | 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: 4578df9061e61980cdd62a35ed703513ff00008d15996d6e9a56cd02c8be6200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54981d1baa6f9c3a932f61a6b9d3898a9795e278969095d426234a8854f3deec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-30T14:28:43Z",
    "title_canon_sha256": "b94ad3b7a297f524084df4629e8f77964fd7cb4726cfefcaba5327abcb4e7c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28279",
    "kind": "arxiv",
    "version": 1
  }
}