Pith Number

pith:GPFF3MIB

pith:2013:GPFF3MIBUEDC6VWZTNVOFAARMB

not attested not anchored not stored refs pending

Bornes effectives des fonctions d'approximation des solutions formelles d'\'equations binomiales

Guillaume Rond

arxiv:1301.2418 v1 · 2013-01-11 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPFF3MIBUEDC6VWZTNVOFAARMB}

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	2026-05-18T03:36:37.992604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ca5db101a1062f56d99b6ae28011607326054553a64bdfb0defe7a0b4cab38

Aliases

arxiv: 1301.2418 · arxiv_version: 1301.2418v1 · doi: 10.48550/arxiv.1301.2418 · pith_short_12: GPFF3MIBUEDC · pith_short_16: GPFF3MIBUEDC6VWZ · pith_short_8: GPFF3MIB

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/GPFF3MIBUEDC6VWZTNVOFAARMB \
  | 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: 33ca5db101a1062f56d99b6ae28011607326054553a64bdfb0defe7a0b4cab38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4156836e613e65d3662dfdf1dfd7eb3a1dc023e2922198ed0b8950e4754b553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-11T08:47:10Z",
    "title_canon_sha256": "c32d5c81f54f8ef8d1f1e412f13b2f79fb06ff8b4b72266ed85427909fa69dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2418",
    "kind": "arxiv",
    "version": 1
  }
}