Pith Number

pith:MQBOEHHJ

pith:2013:MQBOEHHJUIUDTNW2WJ6JV2V3FH

not attested not anchored not stored refs pending

On symplectic capacities of toric domains

Emmanuel Tsukerman, Matthew McMillan, Michael Landry

arxiv:1309.5072 v3 · 2013-09-19 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQBOEHHJUIUDTNW2WJ6JV2V3FH}

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	2026-05-18T01:22:24.896365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6402e21ce9a22839b6dab27c9aeabb29f852e01cceea70523e684924e81c4f87

Aliases

arxiv: 1309.5072 · arxiv_version: 1309.5072v3 · doi: 10.48550/arxiv.1309.5072 · pith_short_12: MQBOEHHJUIUD · pith_short_16: MQBOEHHJUIUDTNW2 · pith_short_8: MQBOEHHJ

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/MQBOEHHJUIUDTNW2WJ6JV2V3FH \
  | 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: 6402e21ce9a22839b6dab27c9aeabb29f852e01cceea70523e684924e81c4f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0278bc92ddf7265036c142aa0458a118635c37716a2b42caf75e245d67ae58c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-09-19T18:43:29Z",
    "title_canon_sha256": "0fa4669d9ae800c9cf1e7c4793504ad8cefe3267c077aa1735b95ca9dc5888a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5072",
    "kind": "arxiv",
    "version": 3
  }
}