Pith Number

pith:7YGML6ZM

pith:2015:7YGML6ZMPYVUQNJ6DBCC7AGF4J

not attested not anchored not stored refs pending

A note on the existence of essential tribranched surfaces

Matthias Nagel, Stefan Friedl, Takahiro Kitayama

arxiv:1505.01806 v1 · 2015-05-07 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YGML6ZMPYVUQNJ6DBCC7AGF4J}

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	2026-05-18T02:16:39.704771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0cc5fb2c7e2b48353e18442f80c5e255f08ef32f6aa92b632ecd250d2c5d1a

Aliases

arxiv: 1505.01806 · arxiv_version: 1505.01806v1 · doi: 10.48550/arxiv.1505.01806 · pith_short_12: 7YGML6ZMPYVU · pith_short_16: 7YGML6ZMPYVUQNJ6 · pith_short_8: 7YGML6ZM

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/7YGML6ZMPYVUQNJ6DBCC7AGF4J \
  | 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: fe0cc5fb2c7e2b48353e18442f80c5e255f08ef32f6aa92b632ecd250d2c5d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25aef44816fa795ed74dbb3ca3cf2e16d25850aa8a818bf5be13c4d3e1258db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-07T18:29:32Z",
    "title_canon_sha256": "440d440d04a21eacba4908bfa2ef69e77b8c3e0bb1fb5a5b61a9994571c05ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01806",
    "kind": "arxiv",
    "version": 1
  }
}