Pith Number

pith:4ERTBTLW

pith:2013:4ERTBTLW2TVAAHJEY23UM3M7HW

not attested not anchored not stored refs pending

Explicit Traveling Waves and Invariant Algebraic Curves

Armengol Gasull, Hector Giacomini

arxiv:1305.2775 v1 · 2013-05-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ERTBTLW2TVAAHJEY23UM3M7HW}

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	2026-05-18T03:25:47.361257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12330cd76d4ea001d24c6b7466d9f3db02d9e862974f98f511d820af15ad397

Aliases

arxiv: 1305.2775 · arxiv_version: 1305.2775v1 · doi: 10.48550/arxiv.1305.2775 · pith_short_12: 4ERTBTLW2TVA · pith_short_16: 4ERTBTLW2TVAAHJE · pith_short_8: 4ERTBTLW

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/4ERTBTLW2TVAAHJEY23UM3M7HW \
  | 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: e12330cd76d4ea001d24c6b7466d9f3db02d9e862974f98f511d820af15ad397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820953850bcfb5c3d8abf1a47da1488d864ff46eecc64e3608d8b8277caa3b3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-13T13:34:47Z",
    "title_canon_sha256": "283a7322ec441467509707d5d0395df07fda66fcd0a0f3fce9bd388dddc2f2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2775",
    "kind": "arxiv",
    "version": 1
  }
}