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Pith Number

pith:5MMYW57K

pith:2005:5MMYW57KHJENFHGNJ2K6QYBJNJ
not attested not anchored not stored refs pending

Discrete Exterior Calculus

Anil N. Hirani, Jerrold E. Marsden, Mathieu Desbrun, Melvin Leok

arxiv:math/0508341 v2 · 2005-08-18 · math.DG · cs.NA · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5MMYW57KHJENFHGNJ2K6QYBJNJ}

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.

Cited by

8 papers in Pith

Receipt and verification
First computed 2026-06-03T22:06:17.488813Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eb198b77ea3a48d29ccd4e95e860296a5ed6be7b129c894754a54666496a99f8

Aliases

arxiv: math/0508341 · arxiv_version: math/0508341v2 · doi: 10.48550/arxiv.math/0508341 · pith_short_12: 5MMYW57KHJEN · pith_short_16: 5MMYW57KHJENFHGN · pith_short_8: 5MMYW57K
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5MMYW57KHJENFHGNJ2K6QYBJNJ \
  | 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: eb198b77ea3a48d29ccd4e95e860296a5ed6be7b129c894754a54666496a99f8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "194db7161bbc0d3b084c2ddecf14c8d15c96dbe82c6caebf53c7a2000aac4f8e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-08-18T14:13:14Z",
    "title_canon_sha256": "58fe6656274cab14f4fda1cf71d8dc155e26b8beebdd5313246a4116f40e63a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508341",
    "kind": "arxiv",
    "version": 2
  }
}