Pith Number

pith:T67TXCTP

pith:2015:T67TXCTPAEAQVFAVRDJPHTZOR5

not attested not anchored not stored refs pending

Convergence to equilibrium for a directed (1+d)-dimensional polymer

Julien Sohier, Pietro Caputo

arxiv:1504.02354 v1 · 2015-04-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T67TXCTPAEAQVFAVRDJPHTZOR5}

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	2026-05-18T02:19:15.319371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbf3b8a6f01010a941588d2f3cf2e8f7fe6f1bed45592036b5b2925e71118a9

Aliases

arxiv: 1504.02354 · arxiv_version: 1504.02354v1 · doi: 10.48550/arxiv.1504.02354 · pith_short_12: T67TXCTPAEAQ · pith_short_16: T67TXCTPAEAQVFAV · pith_short_8: T67TXCTP

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/T67TXCTPAEAQVFAVRDJPHTZOR5 \
  | 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: 9fbf3b8a6f01010a941588d2f3cf2e8f7fe6f1bed45592036b5b2925e71118a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9a5c5e8f2f21e75aec84392516b1877899c6d40cd765280add2a2c259884a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-09T15:33:14Z",
    "title_canon_sha256": "6c81b9e8835359b3bff7572081d27b0069049d6f64cafee480253a57d84515e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02354",
    "kind": "arxiv",
    "version": 1
  }
}