Pith Number

pith:HNMG5CS7

pith:2014:HNMG5CS7Z2URJSJH5SMPEIEZTU

not attested not anchored not stored refs pending

The Eisenstein cocycle, partial zeta values and Gross--Stark units

Michael Spie{\ss}, Samit Dasgupta

arxiv:1411.4025 v1 · 2014-11-14 · 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{HNMG5CS7Z2URJSJH5SMPEIEZTU}

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	2026-05-18T02:37:37.194851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b586e8a5fcea914c927ec98f220999d306b7dc051a3e4af386a73bf916ee6b3

Aliases

arxiv: 1411.4025 · arxiv_version: 1411.4025v1 · doi: 10.48550/arxiv.1411.4025 · pith_short_12: HNMG5CS7Z2UR · pith_short_16: HNMG5CS7Z2URJSJH · pith_short_8: HNMG5CS7

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/HNMG5CS7Z2URJSJH5SMPEIEZTU \
  | 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: 3b586e8a5fcea914c927ec98f220999d306b7dc051a3e4af386a73bf916ee6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a85f6904ae12233dddf0ad3c709b3156ffa5ae4b3a6e3c704ce3365201f66bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-14T19:45:58Z",
    "title_canon_sha256": "42c57ee5e76cb33642243b29cef1c7786779035f9ad8df03028b81765f13cc75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4025",
    "kind": "arxiv",
    "version": 1
  }
}