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Pith Number

pith:MGADXLJM

pith:2014:MGADXLJMMCB3SXCPJSNMNM5JR5
not attested not anchored not stored refs pending

ACC for minimal lengths of extremal rays for surfaces

Evgeny Mayanskiy

arxiv:1410.6590 v1 · 2014-10-24 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MGADXLJMMCB3SXCPJSNMNM5JR5}

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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 2026-05-18T02:39:24.955288Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

61803bad2c6083b95c4f4c9ac6b3a98f63a2b2e8d035aaa91b389fc0dd32270c

Aliases

arxiv: 1410.6590 · arxiv_version: 1410.6590v1 · doi: 10.48550/arxiv.1410.6590 · pith_short_12: MGADXLJMMCB3 · pith_short_16: MGADXLJMMCB3SXCP · pith_short_8: MGADXLJM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MGADXLJMMCB3SXCPJSNMNM5JR5 \
  | 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: 61803bad2c6083b95c4f4c9ac6b3a98f63a2b2e8d035aaa91b389fc0dd32270c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2b410c18f2985d5f712e855a6bf851d25ac59f6d5a0504f047f65b84a659a9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-24T06:24:11Z",
    "title_canon_sha256": "3b63d1eb14317afe530a8b2f483fe1c624e75019f7f1bf280fc4d9ee34cf8e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6590",
    "kind": "arxiv",
    "version": 1
  }
}