Pith Number

pith:4UM4JLXF

pith:2013:4UM4JLXFRETIF4KHOOLVO25CX5

not attested not anchored not stored refs pending

Some results on injectivity and multistationarity in chemical reaction networks

Casian Pantea, Murad Banaji

arxiv:1309.6771 v6 · 2013-09-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UM4JLXFRETIF4KHOOLVO25CX5}

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	2026-05-18T01:01:09.063488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e519c4aee5892682f1477397576ba2bf7505ea4bf9eb6db3c3cb7faa253eb9ed

Aliases

arxiv: 1309.6771 · arxiv_version: 1309.6771v6 · doi: 10.48550/arxiv.1309.6771 · pith_short_12: 4UM4JLXFRETI · pith_short_16: 4UM4JLXFRETIF4KH · pith_short_8: 4UM4JLXF

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/4UM4JLXFRETIF4KHOOLVO25CX5 \
  | 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: e519c4aee5892682f1477397576ba2bf7505ea4bf9eb6db3c3cb7faa253eb9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95e00bf79698fe3810aa4f54ac40dd7ab2f719ba837c05e928724c3b4ee7313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-26T09:30:45Z",
    "title_canon_sha256": "e9f6b28135328f4a8caede228e45b6980ee2ee5553d5c305473d960ba2e58ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6771",
    "kind": "arxiv",
    "version": 6
  }
}