Pith Number

pith:FGKXWT25

pith:2012:FGKXWT25CSFTVIIW7TB5ANR6NN

not attested not anchored not stored refs pending

Representation of singular fields without asymptotic enrichment in the extended finite element method

Chongmin Song, Sundararajan Natarajan

arxiv:1212.6957 v1 · 2012-12-31 · 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{FGKXWT25CSFTVIIW7TB5ANR6NN}

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	2026-05-18T03:14:19.865032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29957b4f5d148b3aa116fcc3d0363e6b4eabdf638592a4af1d2bb74361f8541e

Aliases

arxiv: 1212.6957 · arxiv_version: 1212.6957v1 · doi: 10.48550/arxiv.1212.6957 · pith_short_12: FGKXWT25CSFT · pith_short_16: FGKXWT25CSFTVIIW · pith_short_8: FGKXWT25

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/FGKXWT25CSFTVIIW7TB5ANR6NN \
  | 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: 29957b4f5d148b3aa116fcc3d0363e6b4eabdf638592a4af1d2bb74361f8541e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583139fa607bb5f0e7b788c8b20fece75a01fc90b675f6754dd2d917f9ea2dcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-31T20:07:28Z",
    "title_canon_sha256": "05fbf5088858e764756be238f098ee506ad96f80b13e1932df99dab0ac8efd2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6957",
    "kind": "arxiv",
    "version": 1
  }
}