Pith Number

pith:PAFVAESU

pith:2005:PAFVAESUGJ5O7LD4ORJ5N7SHDP

not attested not anchored not stored refs pending

Asymptotic analysis of spatially inhomogeneous stiff and ultra-stiff cosmologies

A. A. Coley, W. C. Lim

arxiv:math/0501039 v2 · 2005-01-03 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAFVAESUGJ5O7LD4ORJ5N7SHDP}

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	2026-05-18T01:05:23.865301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780b501254327aefac7c7453d6fe471beedc72bbae0036d2797a0faa71cd1334

Aliases

arxiv: math/0501039 · arxiv_version: math/0501039v2 · doi: 10.48550/arxiv.math/0501039 · pith_short_12: PAFVAESUGJ5O · pith_short_16: PAFVAESUGJ5O7LD4 · pith_short_8: PAFVAESU

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/PAFVAESUGJ5O7LD4ORJ5N7SHDP \
  | 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: 780b501254327aefac7c7453d6fe471beedc72bbae0036d2797a0faa71cd1334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc0a737dbaa9a6dd2121cf27e670ebc3e8fc74ea6be46df19a38d8338ba13ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-01-03T21:37:51Z",
    "title_canon_sha256": "e455fca5f136e676972abd1636785e273f330b39cf2df5b87063b4f6041b83a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501039",
    "kind": "arxiv",
    "version": 2
  }
}