Pith. sign in
Pith Number

pith:PECZWTBW

pith:2022:PECZWTBWNEO25KJ2BUMDGEL72R
not attested not anchored not stored refs pending

Definable valuations on ordered fields

Franziska Jahnke, Lothar Sebastian Krapp, Philip Dittmann, Salma Kuhlmann

arxiv:2206.15301 v1 · 2022-06-30 · math.LO · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PECZWTBWNEO25KJ2BUMDGEL72R}

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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T06:25:09.051739Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

79059b4c36691daea93a0d1833117fd45aafb13eb631bf520ae6ed5ef2df8ee9

Aliases

arxiv: 2206.15301 · arxiv_version: 2206.15301v1 · doi: 10.48550/arxiv.2206.15301 · pith_short_12: PECZWTBWNEO2 · pith_short_16: PECZWTBWNEO25KJ2 · pith_short_8: PECZWTBW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PECZWTBWNEO25KJ2BUMDGEL72R \
  | 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: 79059b4c36691daea93a0d1833117fd45aafb13eb631bf520ae6ed5ef2df8ee9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "79c60a886eae945cc6e3ee35156ed3e72ee36697c591909a3ffe629198d7f80d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-06-30T14:09:43Z",
    "title_canon_sha256": "9c9e24c8ef8134d05ac8105b810606e1ccf202fa2fa25135fb1a5c98a2e9a685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15301",
    "kind": "arxiv",
    "version": 1
  }
}