Pith Number

pith:TMGYV5DJ

pith:2015:TMGYV5DJOL7Q7ABZFNQGJTLMGK

not attested not anchored not stored refs pending

Tropical surfaces

Kristin Shaw

arxiv:1506.07407 v1 · 2015-06-24 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMGYV5DJOL7Q7ABZFNQGJTLMGK}

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.

Cited by

1 paper in Pith

A sheaf-theoretic approach to tropical homology

Receipt and verification

First computed	2026-05-18T01:39:54.137923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0d8af46972ff0f80392b6064cd6c32b1cbe205f35665769b7672d397ff8d6c

Aliases

arxiv: 1506.07407 · arxiv_version: 1506.07407v1 · doi: 10.48550/arxiv.1506.07407 · pith_short_12: TMGYV5DJOL7Q · pith_short_16: TMGYV5DJOL7Q7ABZ · pith_short_8: TMGYV5DJ

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/TMGYV5DJOL7Q7ABZFNQGJTLMGK \
  | 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: 9b0d8af46972ff0f80392b6064cd6c32b1cbe205f35665769b7672d397ff8d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445bae88d09119be87935cd4ba0eefc0333c04debbfdfd998626988031378f52",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-24T15:03:17Z",
    "title_canon_sha256": "d52289627c42d4e7dd4b28060a389a1aae2effb31a2b830e3ff776b091397e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07407",
    "kind": "arxiv",
    "version": 1
  }
}