Pith Number

pith:V6YLWFGS

pith:2013:V6YLWFGSCVFBVAY4FAQO7OH5EA

not attested not anchored not stored refs pending

$\eta$-invariant and Modular Forms

Fei Han, Weiping Zhang

arxiv:1312.7494 v2 · 2013-12-29 · math.DG · math-ph · math.AT · 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{V6YLWFGSCVFBVAY4FAQO7OH5EA}

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	2026-05-18T02:48:02.255662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb0bb14d2154a1a831c2820efb8fd20374a197c047b274f2021cb287774c9a3

Aliases

arxiv: 1312.7494 · arxiv_version: 1312.7494v2 · doi: 10.48550/arxiv.1312.7494 · pith_short_12: V6YLWFGSCVFB · pith_short_16: V6YLWFGSCVFBVAY4 · pith_short_8: V6YLWFGS

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/V6YLWFGSCVFBVAY4FAQO7OH5EA \
  | 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: afb0bb14d2154a1a831c2820efb8fd20374a197c047b274f2021cb287774c9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e19fc549c56bcc563ec25b7739529aca1ebe85f3145c8cf2897a03afadcce3b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-29T03:36:09Z",
    "title_canon_sha256": "e5f9cedc832d118c499c7dc5633c22f7ddb208e553354e4bafece1d3fb9f0911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7494",
    "kind": "arxiv",
    "version": 2
  }
}