Pith Number

pith:K52SE2IP

pith:2013:K52SE2IPMHUIBL3XXCL35ZE3ZS

not attested not anchored not stored refs pending

Equilibrium points of a singular cooperative system with free boundary

Georg S. Weiss, Henrik Shahgholian, John Andersson, Nina N. Uraltseva

arxiv:1309.2624 v2 · 2013-09-10 · 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{K52SE2IPMHUIBL3XXCL35ZE3ZS}

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	2026-05-18T03:09:21.862968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577522690f61e880af77b897bee49bcca52d167f814d43133eced3fdb887f6e7

Aliases

arxiv: 1309.2624 · arxiv_version: 1309.2624v2 · doi: 10.48550/arxiv.1309.2624 · pith_short_12: K52SE2IPMHUI · pith_short_16: K52SE2IPMHUIBL3X · pith_short_8: K52SE2IP

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/K52SE2IPMHUIBL3XXCL35ZE3ZS \
  | 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: 577522690f61e880af77b897bee49bcca52d167f814d43133eced3fdb887f6e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0255b9b144c57288d0d7db569a91ca71cbe6fe2a1656ee559f1290a4da97ad0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-10T19:38:54Z",
    "title_canon_sha256": "323c73210e28d97ce971a747fa172df173a469cc3902e363a63906fa3e7de74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2624",
    "kind": "arxiv",
    "version": 2
  }
}