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Pith Number

pith:UTBNCN3H

pith:2013:UTBNCN3HFWFYEV3IH3MHKIU3BM
not attested not anchored not stored refs pending

Extensions of Nunokawa lemma for argument properties

Hitoshi Shiraishi

arxiv:1302.6908 v2 · 2013-02-27 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UTBNCN3HFWFYEV3IH3MHKIU3BM}

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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 2026-05-18T03:22:07.760245Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a4c2d137672d8b8257683ed875229b0b01eae7f12380f6e06d1ab572f24998f7

Aliases

arxiv: 1302.6908 · arxiv_version: 1302.6908v2 · doi: 10.48550/arxiv.1302.6908 · pith_short_12: UTBNCN3HFWFY · pith_short_16: UTBNCN3HFWFYEV3I · pith_short_8: UTBNCN3H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UTBNCN3HFWFYEV3IH3MHKIU3BM \
  | 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: a4c2d137672d8b8257683ed875229b0b01eae7f12380f6e06d1ab572f24998f7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f5e6a0486cb1d47ae7019a00109fa107652efc5617d4562e214f7cf6fb533322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-27T16:27:52Z",
    "title_canon_sha256": "f1c27995c6a4b592915cc13e7867c82ce57eddac0efda03dc5cb40f997504b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6908",
    "kind": "arxiv",
    "version": 2
  }
}