pith. sign in
Pith Number

pith:B2GAD53C

pith:2012:B2GAD53CAW6VTTGV6XWYTBSYUQ
not attested not anchored not stored refs pending

Coordinates, retracts and automorphisms

Yun-Chang Li

arxiv:1206.5085 v1 · 2012-06-22 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B2GAD53CAW6VTTGV6XWYTBSYUQ}

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 2026-05-18T03:52:52.382506Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0e8c01f76205bd59ccd5f5ed898658a411e007e36328ac24d6925c87a593b8fc

Aliases

arxiv: 1206.5085 · arxiv_version: 1206.5085v1 · doi: 10.48550/arxiv.1206.5085 · pith_short_12: B2GAD53CAW6V · pith_short_16: B2GAD53CAW6VTTGV · pith_short_8: B2GAD53C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B2GAD53CAW6VTTGV6XWYTBSYUQ \
  | 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: 0e8c01f76205bd59ccd5f5ed898658a411e007e36328ac24d6925c87a593b8fc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3649b542cb7cb2a81d138340ec55b1213b74570e68b891fafc8c22aac56c64f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-22T08:50:46Z",
    "title_canon_sha256": "1ff2bb4b9a55583a8cae427d3304693288c4a508b35c0b0917d70abd725f48d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5085",
    "kind": "arxiv",
    "version": 1
  }
}