pith. sign in
Pith Number

pith:R56D27TK

pith:2015:R56D27TK2JPQZSCYY42Q6QQOML
not attested not anchored not stored refs pending

Elementary vectors and conformal sums in polyhedral geometry and their relevance for metabolic pathway analysis

Georg Regensburger, Stefan M\"uller

arxiv:1512.00267 v2 · 2015-12-01 · math.MG · q-bio.MN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R56D27TK2JPQZSCYY42Q6QQOML}

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 2026-05-18T01:15:57.864532Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8f7c3d7e6ad25f0cc858c7350f420e62cbcb8600f4237066a4919daa889b4a20

Aliases

arxiv: 1512.00267 · arxiv_version: 1512.00267v2 · doi: 10.48550/arxiv.1512.00267 · pith_short_12: R56D27TK2JPQ · pith_short_16: R56D27TK2JPQZSCY · pith_short_8: R56D27TK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R56D27TK2JPQZSCYY42Q6QQOML \
  | 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: 8f7c3d7e6ad25f0cc858c7350f420e62cbcb8600f4237066a4919daa889b4a20
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2cd53b70e1a976dc4026d4ba7de16435bd4db87aa62c1e69c6a1a4bc61babf6c",
    "cross_cats_sorted": [
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-12-01T14:23:16Z",
    "title_canon_sha256": "1ae96c8fc14b408a7672b19c28072605704cbd32d98925623ef7ab898ac99a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00267",
    "kind": "arxiv",
    "version": 2
  }
}