Pith Number

pith:QGLN3MMX

pith:2014:QGLN3MMXFIACME3JFSJUVKCYQD

not attested not anchored not stored refs pending

Exponential asymptotics and problems with coalescing singularities

Philippe H. Trinh, S. Jonathan Chapman

arxiv:1403.7182 v2 · 2014-03-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGLN3MMXFIACME3JFSJUVKCYQD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:43:49.958073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8196ddb1972a002613692c934aa85880d150a925311fdb4385318cbbe26b7d68

Aliases

arxiv: 1403.7182 · arxiv_version: 1403.7182v2 · doi: 10.48550/arxiv.1403.7182 · pith_short_12: QGLN3MMXFIAC · pith_short_16: QGLN3MMXFIACME3J · pith_short_8: QGLN3MMX

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/QGLN3MMXFIACME3JFSJUVKCYQD \
  | 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: 8196ddb1972a002613692c934aa85880d150a925311fdb4385318cbbe26b7d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b3e960acb5e9f503666284b794d81fdde2226824da941d8777fd8e6e4713a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-27T19:28:12Z",
    "title_canon_sha256": "19ff8787f431a9f4ea255d8e16c4ea335131e03a133ae2400884f63473ec6d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7182",
    "kind": "arxiv",
    "version": 2
  }
}