Pith Number

pith:SQJJQBCA

pith:2014:SQJJQBCAP72DPRKPQL6BQVS5IP

not attested not anchored not stored refs pending

Lifting harmonic morphisms II: tropical curves and metrized complexes

Erwan Brugall\'e, Joseph Rabinoff, Matthew Baker, Omid Amini

arxiv:1404.3390 v1 · 2014-04-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQJJQBCAP72DPRKPQL6BQVS5IP}

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	2026-05-18T01:22:24.119785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94129804407ff437c54f82fc18565d43f29d8c7df2fb8a2cb49d47934e14dec9

Aliases

arxiv: 1404.3390 · arxiv_version: 1404.3390v1 · doi: 10.48550/arxiv.1404.3390 · pith_short_12: SQJJQBCAP72D · pith_short_16: SQJJQBCAP72DPRKP · pith_short_8: SQJJQBCA

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/SQJJQBCAP72DPRKPQL6BQVS5IP \
  | 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: 94129804407ff437c54f82fc18565d43f29d8c7df2fb8a2cb49d47934e14dec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8b4cab70488a494d76ea66f26d12fa24aa0129c898ff4c04a78319fd843e23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-13T15:17:35Z",
    "title_canon_sha256": "970975065195437ba91e8d0ad1b4a2ba6d7b779f92fb12896ba7bef41034418a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3390",
    "kind": "arxiv",
    "version": 1
  }
}